6577117776761 has 16 divisors (see below), whose sum is σ = 7567416385536. Its totient is φ = 5599547652816.

The previous prime is 6577117776737. The next prime is 6577117776797. The reversal of 6577117776761 is 1676777117756.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6577117776761 is a prime.

It is a super-2 number, since 2×6577117776761² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6577117776691 and 6577117776700.

It is not an unprimeable number, because it can be changed into a prime (6577117776161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568661 + ... + 3671186.

It is an arithmetic number, because the mean of its divisors is an integer number (472963524096).

Almost surely, 2^{6577117776761} is an apocalyptic number.

It is an amenable number.

6577117776761 is a deficient number, since it is larger than the sum of its proper divisors (990298608775).

6577117776761 is a wasteful number, since it uses less digits than its factorization.

6577117776761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241348.

The product of its digits is 127060920, while the sum is 68.

The spelling of 6577117776761 in words is "six trillion, five hundred seventy-seven billion, one hundred seventeen million, seven hundred seventy-six thousand, seven hundred sixty-one".